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A person invested a total sum of Rs. 7900 in three different schemes of simple interest at 3%, 5% and 8% per annum. At the end of one year he got same interest in all three schemes. What is the money (in Rs.) invested at 3%?
A 12/13
в 7/31
c 12/9
D 5/1?
Most Upvoted Answer
A person invested a total sum of Rs. 7900 in three different schemes o...
- Given Information:
The person invested a total sum of Rs. 7900 in three different schemes of simple interest at 3%, 5%, and 8% per annum.
- Condition:
At the end of one year, he got the same interest in all three schemes.
- Let's Assume:
Let the money invested at 3%, 5%, and 8% be Rs. x, Rs. y, and Rs. z respectively.
- Calculating Total Interest:
Total interest from the three schemes can be calculated as:
0.03x = 0.05y = 0.08z
- Given Total Investment:
According to the question, the total investment is Rs. 7900:
x + y + z = 7900
- Solving the Equations:
From the condition:
0.03x = 0.05y = 0.08z
=> 3x = 5y = 8z
We know that x + y + z = 7900
=> 3x + 3y + 3z = 23700
=> 5y + 5z = 23700
=> 5y + 5z = 7900
=> y + z = 1580
Substitute y + z = 1580 in 5y + 5z = 7900
=> 5(1580) = 7900
=> 7900 = 7900
Therefore, the money invested at 5% and 8% is Rs. 1580 each.
- Calculating the Money Invested at 3%:
From x + y + z = 7900, substitute y = 1580 and z = 1580
x + 1580 + 1580 = 7900
x = 4740
Therefore, the money invested at 3% is Rs. 4740.
- Conclusion:
The money invested at 3% is Rs. 4740.
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A person invested a total sum of Rs. 7900 in three different schemes of simple interest at 3%, 5% and 8% per annum. At the end of one year he got same interest in all three schemes. What is the money (in Rs.) invested at 3%?A 12/13в 7/31c 12/9D 5/1?
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